Admissible approximations for essential boundary conditions in the reproducing kernel particle method

1996 ◽  
Vol 19 (1) ◽  
pp. 120-135 ◽  
Author(s):  
J. Gosz ◽  
W. K. Liu
Keyword(s):  
Boundary Conditions ◽  
Reproducing Kernel ◽  
Particle Method ◽  
Reproducing Kernel Particle Method ◽  
Reproducing Kernel Particle

scholarly journals Level set topology optimization with nodally integrated reproducing kernel particle method

2021 ◽  
Vol 385 ◽  
pp. 114016
Author(s):  
Andreas Neofytou ◽  
Tsung-Hui Huang ◽  
Sandilya Kambampati ◽  
Renato Picelli ◽  
Jiun-Shyan Chen ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Reproducing Kernel ◽  
Particle Method ◽  
Reproducing Kernel Particle Method ◽  
Reproducing Kernel Particle

Implementing of Displacement Boundary Conditions of Element-Free Galerkin Method and its Applications Used in Fracture Mechanics

2012 ◽  
Vol 629 ◽  
pp. 606-610
Author(s):  
Gang Cheng ◽  
Wei Dong Wang ◽  
Dun Fu Zhang
Keyword(s):  
Boundary Conditions ◽  
Galerkin Method ◽  
Reproducing Kernel ◽  
Particle Method ◽  
Transformation Method ◽  
Computational Method ◽  
Reproducing Kernel Particle Method ◽  
Element Free Galerkin Method ◽  
Element Free Galerkin ◽  
Element Free

The main draw back of the Moving Least Squares (MLS) approximate used in element free Galerkin method (EFGM) is its lack the property of the delta function. To alleviate difficulties in the treatment of essential boundary conditions in EFGM, the local transformation method and the boundary singular weight method, which are used in the reproducing kernel particle method, is combined with the element free Galerkin method. The computational method is given to analyze the stress intensity factors and the numerical simulation of crack propagation of two-dimentional problems of the elastic fracture analysis. The application examples reveal the effectiveness and feasibility of the present methods.

Semi-Lagrangian reproducing kernel particle method for fragment-impact problems

2011 ◽  
Vol 38 (12) ◽  
pp. 1033-1047 ◽  
Author(s):  
P.C. Guan ◽  
S.W. Chi ◽  
J.S. Chen ◽  
T.R. Slawson ◽  
M.J. Roth
Keyword(s):  
Reproducing Kernel ◽  
Particle Method ◽  
Reproducing Kernel Particle Method ◽  
Impact Problems ◽  
Reproducing Kernel Particle

Enriched reproducing kernel particle method for fractional advection–diffusion equation

2018 ◽  
Vol 34 (3) ◽  
pp. 515-527 ◽  
Author(s):  
Yuping Ying ◽  
Yanping Lian ◽  
Shaoqiang Tang ◽  
Wing Kam Liu
Keyword(s):  
Diffusion Equation ◽  
Reproducing Kernel ◽  
Particle Method ◽  
Reproducing Kernel Particle Method ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Reproducing Kernel Particle
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